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50506240 = 295109181
BaseRepresentation
bin1100000010101…
…0101000000000
310112000222112111
43000222220000
5100412144430
65002305104
71152203341
oct300525000
9115028474
1050506240
11265670a4
1214ab8194
13a604965
1469ca0c8
154679c2a
hex302aa00

50506240 has 80 divisors (see below), whose sum is σ = 122882760. Its totient is φ = 19906560.

The previous prime is 50506217. The next prime is 50506243. The reversal of 50506240 is 4260505.

It can be written as a sum of positive squares in 4 ways, for example, as 29419776 + 21086464 = 5424^2 + 4592^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (50506243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278950 + ... + 279130.

Almost surely, 250506240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61441380).

50506240 is an abundant number, since it is smaller than the sum of its proper divisors (72376520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50506240 is a wasteful number, since it uses less digits than its factorization.

50506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 50506240 is about 7106.7742330821. The cubic root of 50506240 is about 369.6423132032.

Adding to 50506240 its reverse (4260505), we get a palindrome (54766745).

The spelling of 50506240 in words is "fifty million, five hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 181 218 256 320 362 436 512 545 640 724 872 905 1090 1280 1448 1744 1810 2180 2560 2896 3488 3620 4360 5792 6976 7240 8720 11584 13952 14480 17440 19729 23168 27904 28960 34880 39458 46336 55808 57920 69760 78916 92672 98645 115840 139520 157832 197290 231680 279040 315664 394580 463360 631328 789160 1262656 1578320 2525312 3156640 5050624 6313280 10101248 12626560 25253120 50506240